Answer: 12
Step-by-step explanation:
First find unit rate
290/5 = 58 in 1 hour
Do 696 divided by 58
696/58 = 12
Can drive 696 miles in 12 hours
Answer:
12 hours.
Step-by-step explanation:
By proportion it is (696/290) * 5
= 2.4 * 5
= 12 hours.
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
and then used the predict() function to make a prediction for each student's number of hours exercised per week, what value would it predict for each student?
the predict() function takes as input a linear regression model and a set of predictor variables (in this case, the students' GPA) and returns a set of predicted response values (in this case, the number of hours exercised per week) based on the fitted model.
The specific value that the predict() function would predict for each student's number of hours exercised per week would depend on the coefficients and intercept of the linear regression model that was fitted to the data. These coefficients reflect the relationship between the predictor variable (GPA) and the response variable (number of hours exercised per week) and determine how changes in the predictor variable are associated with changes in the response variable.
The intercept represents the predicted value of the response variable when the predictor variable is zero. Therefore, the predict() function would use these coefficients and intercept to predict the number of hours exercised per week for each student based on their GPA.
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A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
Tyler drew a diagram to expand (x + 5)(2x + 3).
a. Explain Tyler's mistake.
3
2x²
3x
5
7x
8
b. What is the correct expanded form of
(x + 5)(2x + 3)?
The expanded form of the expression is 2x²+13x+15, and Tyler's mistake is, he should multiply the terms not to add the terms.
What is expression?The definition of an expression in math is a statement composed of terms and operations. The terms may be constant (numbers), or variables with coefficients. The operations may be addition, subtraction, multiplication, or division.
Given is an expression, (x + 5)(2x + 3), Tyler tried to solve it with the help of a diagram, but had some mistake,
We need to identify his mistake and write the expression in the expanded form,
So,
Making the diagram,
2x 3
x (x·2x = 2x²) (3·x = 3x)
5 (5·2x = 10x) (5·3 = 15)
Now, adding the terms,
We have,
2x² + 10x + 3x + 15
= 2x²+13x+15
Hence, the expanded form of the expression is 2x²+13x+15, and Tyler's mistake is, he should multiply the terms not to add the terms.
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FILL THE BLANK.Translations, reflections, and rotations produce a figure that is _________ to the original figure.equalcongruentnot congruent
Translations, reflections, and rotations produce a figure that is congruent to the original figure.
When we perform translations, reflections, and rotations on a figure, the resulting figure maintains the same size, shape, and orientation as the original figure. In other words, the transformed figure is congruent to the original figure.
Here's a brief explanation of each transformation:
1. Translations: A translation involves sliding a figure in a particular direction without changing its orientation or shape. Every point of the figure moves the same distance and direction. The resulting figure is congruent to the original because all corresponding sides and angles remain the same length and measure.
2. Reflections: A reflection involves flipping a figure over a line, called the line of reflection. Each point of the figure is mirrored across the line, creating a symmetrical image. The resulting figure is congruent to the original because the distance between corresponding points remains the same, and the angles formed between intersecting lines are preserved.
3. Rotations: A rotation involves turning a figure around a fixed point, known as the center of rotation. The figure is rotated by a specific angle in a clockwise or counter clockwise direction. The resulting figure is congruent to the original because all corresponding angles and side lengths remain unchanged.
In each of these transformations, the congruency of the resulting figure to the original figure is a fundamental property. Congruent figures have the same shape and size, even though they may be positioned differently in space. This property allows us to apply the concept of congruence in geometry to establish relationships, prove theorems, and solve geometric problems.
Therefore, when we perform translations, reflections, and rotations on a figure, we produce a transformed figure that is congruent to the original figure.
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What are 2 ways you can get the decimal form of 5/4 if you already know that 1/4 is equivalent to 0.25?
the product of two numbers is 1,33,600. If the first number is 25 than what is the second number?
Answer:
Step-by-step explanation:
It looks much harder than it really is
Let the first number = 25
Let the second number = x
25 * x = 133600 divide both sides by 25
25*x/25 = 133600/25
x = 5344
Make sure the answer really is 133600 because the comma (one) should go before the 6.
Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)
Answer:
\(d=9.2\)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (5, -5)
Point (-2, 1)
Step 2: Find distance d
Substitute: \(d = \sqrt{(-2-5)^2+(1-(-5))^2}\)Simplify: \(d = \sqrt{(-2-5)^2+(1+5)^2}\)Subtract/Add: \(d = \sqrt{(-7)^2+(6)^2}\)Evaluate: \(d = \sqrt{49+36}\)Add: \(d = \sqrt{85}\)Evaluate: \(d=9.21954\)Solve a 2x + 6x z for X.
You have to solve the given expression for x, first equal the expression to zero:
Did I do it right? I'm been looking at my notes and it seems right
It is correct from my standpoint.
Point A is located at (-5, 2). Point B is located at (-5, -3). What is the distance between point A and point B ?
Answer: The distance is 5 units.
Step-by-step explanation: The x values of the two points are the same. The y values are 5 units apart from each other.
Answer:
d(A,B) = 5 u.c.
Step-by-step explanation:
So the formula is:
d(A,B) = \(\sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}\) =
Let's substitute.
= \(\sqrt{(-5+5)^{2}+(-3-2)^{2}}\) = (Atention to the signals, (-) + (-) = (+)
=√0² + (-5)² = √25 = 5 u.c.
(u.c. means units of compriment)
Help me please!!! Need ASAP
Answer:
(-infinity, 1)
Step-by-step explanation:
According to the graph, the largest value y can take on is +1.
Thus, the range of this function is (-infinity, 1)
Dome Prep School is planning to plant sod to cover their combined track and football field. The field is rectangular in the middle, with a width of 160 feet and a length of 360 feet. On both ends, the field is semicircular,
Answer:
150 pallats
Step-by-step explanation:
Please answer ASAP pls (25 Points)
Answer:
\(y=\dfrac{1}{625}\)
Step-by-step explanation:
Given equation:
\(y=\left(\dfrac{1}{5}\right)^x\)
Substitute x = 4 into the given equation:
\(\implies y=\left(\dfrac{1}{5}\right)^4\)
\(\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)
\(\implies y=\dfrac{1^4}{5^4}\)
Simplify:
\(\implies y=\dfrac{1\times1\times1\times1}{5\times5\times5\times5}\)
\(\implies y=\dfrac{1}{25\times5\times5}\)
\(\implies y=\dfrac{1}{125\times5}\)
\(\implies y=\dfrac{1}{625}\)
helpppppopppppoppppppp
When the equation of the line is in the form y=mx+b, what is the value of **m**?
0.3
Step-by-step explanation:Linear regression can help find the line of best fit.
Slope-Intercept Form
We know we need to use linear regression because the question states that the equation will be in the form of y = mx + b. This is a linear equation in slope-intercept form. In this form, m is the slope and b is the y-intercept. So, once we have the line of best fit, we can find the slope, aka the m-value.
Line of Best Fit
Through linear regression, we can find the line of best fit for the data. The question says to use technology in order to find the line of best fit. The line of best fit is the line that shows the correlation between data points. After plugging these points into a calculator, we can find that the line of best fit is y = 0.3x + 3.3. This means that the m-value is 0.3.
1. Which of the following is INCORRECT:
Independent random samples arise when ...
a. one random sample is split into groups differing by an observed feature
b. the individuals in a sample are randomly assigned to experimental groups
c. data is recorded repeatedly on a random sample of individuals
d. random samples are selected separately
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to
a. half the width of the confidence interval
b. twice the width of the confidence interval
c. the width of the confidence interval
d. 1.5 times the width of the confidence interval
1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.
2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.
2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.
In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
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(GIVING BRAINLIEST) A company rents out 11 food booths and 26 game booths at the county fair. The fee for a food booth is $50 plus $10 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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Find the Area! Need help asap
Answer:
5.6ft squared
Step-by-step explanation:
4x7 = 28 divided by 5 which is 5.6
Note that the Unicode for character A is 65. The expression "A" + 1 evaluates to ________.
A. 66
B. B
C. A1
D. Illegal expression
Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".
The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.
The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".
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A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
Use the equation below to find F, if =m5 and =a19.
=Fma
=F
GIVING BRAINLIEST TO WHOEVER ANSWERS THIS ASAP PLSSSS
Answer:
I think its the second one
Step-by-step explanation:
Im sorry if im wrong tho
What value of x is in the solution set of the inequality 9(2x 1) < 9x – 18? –4 –3 –2 –1
The value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18 is -4.
Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
9(2x + 1) < 9x - 18
18x + 9 < 9x - 18
18x - 9x < -18 - 9
9x < -27
x < -3
x = (-∞, -3)
Hence, the solution set of the given inequality is the set of numbers less than -3. Among the given choices, only -4 is less than -3. Therefore, the value of x is -4.
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Answer: -4
Step-by-step explanation: edge2020
Please help me with question D
The calculated value of the expected number of spin is 216
Calculating the expected number of timesFrom the question, we have the following parameters that can be used in our computation:
Yellow or purple outcomes = 12
P(Yellow or purple) = 1/18
using the above as a guide, we have the following:
Yellow or purple outcomes = P(Yellow or purple) * Expected number of spin
So, we have
1/18 * Expected number of spin = 12
Rewrite as
Expected number of spin = 12 * 18
Evaluate
Expected number of spin = 216
Hence, the expected number of spin is 216
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Question 1-10 A golf ball has a circumference of 13.408 cm , and 336 dimples on its surface. Approximately how many dimples per squarecentimeter are on the surface of a golf ball 0.170, 1.468,4.638,5.872
For a golf ball with a circumference of 0.170, 1.468, 4.638, 5.872, the number of dimples are 233.8, 12.1, 3.4, 2.3 per square centimeter respectively. By using the formula, Number of dimples per square centimeter ≈ Number of dimples / Surface area
The surface area of a golf ball can be calculated using the formula for the surface area of a sphere:
Surface area = 4πr^2, where r is the radius of the ball.
We don't know the radius of the golf ball, but we do know its circumference, which is:
Circumference = 2πr
Therefore, we can rearrange the formula to solve for the radius:
r = Circumference / 2π = 13.408 cm / 2π ≈ 2.132 cm
Now we can calculate the surface area:
Surface area = 4π(2.132 cm)^2 ≈ 57.11 cm^2
Number of dimples per square centimeter ≈ Number of dimples / Surface area
For a golf ball with a circumference of 0.170 cm:
Number of dimples per square centimeter ≈ 336 / (4π(0.085 cm)^2) ≈ 233.8 dimples/cm^2
For a golf ball with a circumference of 1.468 cm:
Number of dimples per square centimeter ≈ 336 / (4π(0.734 cm)^2) ≈ 12.1 dimples/cm^2
For a golf ball with a circumference of 4.638 cm:
Number of dimples per square centimeter ≈ 336 / (4π(2.319 cm)^2) ≈ 3.4 dimples/cm^2
For a golf ball with a circumference of 5.872 cm:
Number of dimples per square centimeter ≈ 336 / (4π(2.936 cm)^2) ≈ 2.3 dimples/cm^2
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ke this practice quiz to brush up on the types of math problems we will be Slving the problems, pay special attention to reporting your final answer to Good Luck! Question 1 The difference between 85.3 and 38 =. . Chose from the answers below. 47.3 40 50 47.
Previous question
The difference between 85.3 and 38 is 47.3. Therefore, the correct answer is option A) 47.3.
Difference is an operation in math that refers to the outcome of subtracting one number from another. The difference between 85.3 and 38 is calculated as follows:
85.3 − 38 = 47.3.
To report the final answer correctly: When reporting your final answer, you must follow the proper method and ensure that it is written in the correct format.
The correct answer to this question is 47.3, which is a decimal number. It is important to include the unit of measure or the currency used in the question. However, in this question, it has not been specified. Hence, the final answer to this question is 47.3 (Option A).
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Hello, I really truly need help please, PLZ! Thanks!
(5 screenshots included)
Answer:
1. Second Choice
2. Positive
3. Line B
4. Line D
5. Horizontal
Step-by-step explanation:
First ScreenshotThe y-intercept is the value of b —
\(y = mx + b\)
where m = slope and b = y-intercept.
Looking from the graph, the graph passes y-axis at (0,1) which is y-intercept.
Basically (0,a) is y-intercept.
Thus, our y-intercept is (0,1)
Second ScreenshotThe slope is positive. If the slope is negative, it would face opposite.
For zero slope, the graph will become a horizontal line.
An undefined slope is the vertical line graph.
Third ScreenshotLine B has zero slope. As said, the zero slope will turn the graph into a horizontal line.
Fourth ScreenshotLine D has an undefined slope. Read Third Screenshot.
As said, an undefined slope is the vertical line.
Fifth Screenshot\(y = - 3\)
This is called Constant Function where the graph is a horizontal line. For a vertical line, it must be x = a (where a is constant)
FYI,
y = a — horizontal
x = a — vertical
67) At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. Service times are random (exponential) and average 2 minutes per arrival. The average time in the queue for each arrival is
A) 2 minutes.
B) 4 minutes.
C) 6 minutes.
D) 8 minutes.
E) 10 minutes.
E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.
To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.
In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).
Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.
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